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Finding the Fourth Proportional to 670.33, 1,005.17 and 280.22

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Solution

The fourth proportional to 670.33, 1,005.17 and 280.22 is: 420.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.33 : 1,005.17 = 280.22 : x
  2. Step 2: Convert to fraction form
    670.33/1,005.17 = 280.22/x
  3. Step 3: Cross multiply
    670.33x = 1,005.17 × 280.22
  4. Step 4: Simplify right side
    670.33x = 281,662.31
  5. Step 5: Solve for x
    x = 281,662.31/670.33
  6. Step 6: Final answer
    x = 420.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.